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lfunc_lfunctions • Show schema
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{'Lhash': '951098161692901533890444398607', 'a10': [-0.05266232621352606, 2.235447758145509], 'a2': [0.0, -1.0], 'a3': [0.0, 1.0], 'a4': [-1.0, 0.0], 'a5': [-2.235447758145509, -0.05266232621352606], 'a6': [1.0, 0.0], 'a7': [0.0, -2.0], 'a8': [0.0, 1.0], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.426087387979079, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [3, [[1.0, 0], [0, -1.0]]], [5, [[1.0, 0], [2.235447758145509, 0.05266232621352606]]], [31, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.559', 'coefficient_field': 'CDF', 'conductor': 930, 'conductor_radical': 930, 'conjugate': '1286177120180971335494005873889', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [2.235447758145509, 0.05266232621352606]], [[1.0, 0], [0, 2.0], [-7.0, 0]], [[1.0, 0], [0.4708955162910171, 0], [11.0, 0]], [[1.0, 0], [0, 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'5.79443270245837435101869813422851', '6.71097129984658726387873078417632', '7.70603399963008599449560404551702', '8.230007075327193991581821151281990', '8.749850019418616354169742231636662', '10.12461864792402564012301247189533'], 'prelabel': '2-930-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.007497307439792474, 'root_number': '0.9997226294725733 + 0.023551308253342677*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0037486537199', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.75028415678710255794022844439', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.73154872617466493573894720637', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.72840688322061401172338255051', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.426087387979079, 'bad_primes': [2, 3, 5, 31], 'central_character': '5.4', 'conductor': 930, 'conductor_radical': 930, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/d/i/559/1'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-930-5.4-c1-0-8', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-930-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.003748653719896237, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75028415678710255794022844439', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '951098161692901533890444398607', 'Lhash_array': ['951098161692901533890444398607'], 'label': '2-930-5.4-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/d/i/559/1'}